Question

the diameter of a cylinder is 4 centimeters. the height is 12 centimeters. using 3.14 for pi, what is the volume of the cylinder, in cm³? round to the nearest hundredth.

Explanation:

Step1: Find the radius

The diameter is 4 cm, so the radius \( r=\frac{d}{2}=\frac{4}{2} = 2 \) cm.

Step2: Recall the volume formula for a cylinder

The volume \( V \) of a cylinder is given by \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step3: Substitute the values

We know \( \pi = 3.14 \), \( r = 2 \) cm, and \( h = 12 \) cm. Substituting these into the formula:
\( V=3.14\times(2)^{2}\times12 \)
First, calculate \( (2)^{2}=4 \). Then, \( 3.14\times4 = 12.56 \). Then, \( 12.56\times12=150.72 \)

Answer:

\( 150.72 \)